Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
444 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 10. #11926826 | C4 | semidirect |
| 11. #11926751 | C4 | semidirect |
| 239. C19 | #9328 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573761 | 2 |
| #14566281 | 2 |
| #14562147 | 2 |
| #14562083 | 2 |
| #14561529 | 2 |
| #14561491 | 2 |
| C19×#1986 | 2 |
| #9328 | 19 |